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Finding the Third Proportional to 23,076 and 54,456

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Solution

The third proportional to 23,076 and 54,456 is: 128,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076 : 54,456 = 54,456 : x
  2. Step 2: Convert to fraction form
    23,076/54,456 = 54,456/x
  3. Step 3: Cross multiply
    23,076x = 54,456 × 54,456
  4. Step 4: Simplify right side
    23,076x = 2,965,455,936
  5. Step 5: Solve for x
    x = 2,965,455,936/23,076
  6. Step 6: Final answer
    x = 128,508.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.